Finding the Third Proportional to 128.46 and 194.27

Step by Step Solution

1. Step 1: Write the proportion equation
   128.46 : 194.27 = 194.27 : x
2. Step 2: Convert to fraction form
   128.46/194.27 = 194.27/x
3. Step 3: Cross multiply
   128.46x = 194.27 × 194.27
4. Step 4: Simplify right side
   128.46x = 37,742.17
5. Step 5: Solve for x
   x = 37,742.17/128.46
6. Step 6: Final answer
   x = 293.80